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Monday, March 2, 2020

Monday HW = Hypotheses!

Tonight, please complete the following in your textbook (or the questions are shown below):

  • Page 469-471: 1, 2, 13a, 15
    • For 1, 2, and 13a your job is to write the hypotheses (only)!
    • For 15a, create a confidence interval--this means conditions, math, interpret interval!
    • For 15b use your interval to decide if there is an evidence in a "change in behavior" aka if the % who had never been smokers is now different from 44%.
  • ALWAYS CHECK YOUR ANSWERS!
    • Here's a key:
      • 1a.) Ho: p = 0.3     Ha: p < 0.3
      • 1b.) Ho: p = 0.5     Ha: p not equal to 0.5
      • 1c.) Ho: p = 0.2    Ha: p > 0.2
      • 2a.) Ho: p = 0.4    Ha: p not equal to 0.4
      • 2b.) Ho: p = 0.2     Ha: p < 0.2
      • 2c.) Ho: p = 0.6     Ha: p > 0.6
      • 13a.) Ho: p = 0.34     Ha: p < 0.34
      • 15a.)
        • This is a random sample of 881 adults.
        • 881 < 10% of all adults (in the U.S.)
        • 881(.52)>10, 881(.48)>10
        • One Prop Z Int = (48.7%, 55.3%) = .52 +/- 1.96sqrt(.52x.48/881)
        • We are 95% confident that the proportion of adults (in 1995) who had never been smokers falls between 48.7% and 55.3% based on this sample of adults.
      • 15b.) The interval DOES provide evidence of a change in behavior above Americans because 44% does NOT fall within the interval. (Our interval suggests that the % of Americans who had never been smokers has increased, and is now above 44%

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